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Finding the Fourth Proportional to 12,735.81, 19,103.94 and 4,416.12

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Solution

The fourth proportional to 12,735.81, 19,103.94 and 4,416.12 is: 6,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.81 : 19,103.94 = 4,416.12 : x
  2. Step 2: Convert to fraction form
    12,735.81/19,103.94 = 4,416.12/x
  3. Step 3: Cross multiply
    12,735.81x = 19,103.94 × 4,416.12
  4. Step 4: Simplify right side
    12,735.81x = 84,365,291.51
  5. Step 5: Solve for x
    x = 84,365,291.51/12,735.81
  6. Step 6: Final answer
    x = 6,624.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.